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Finding the Fourth Proportional to 522.04, 782.98 and 180.04

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Solution

The fourth proportional to 522.04, 782.98 and 180.04 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.04 : 782.98 = 180.04 : x
  2. Step 2: Convert to fraction form
    522.04/782.98 = 180.04/x
  3. Step 3: Cross multiply
    522.04x = 782.98 × 180.04
  4. Step 4: Simplify right side
    522.04x = 140,967.72
  5. Step 5: Solve for x
    x = 140,967.72/522.04
  6. Step 6: Final answer
    x = 270.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.